[0001] The present invention relates to an aerodynamic surface pattern for a golf ball.
More specifically, the present invention relates to a golf ball having the features
of the preamble of claims 1.
[0002] Golfers realized perhaps as early as the 1800's that golf balls with indented surfaces
flew better than those with smooth surfaces. Hand-hammered gutta-percha golf balls
could be purchased at least by the 1860's, and golf balls with brambles (bumps rather
than dents) were in style from the late 1800's to 1908. In 1908, an Englishman, William
Taylor, received a British patent for a golf ball with indentations (dimples) that
flew better ad more accurately than golf balls with brambles. A.G. Spalding & Bros.,
purchased the U.S. rights to the patent (embodied possibly in U.S. Patent Number 1,286,834
issued in 1918) and introduced the GLORY ball featuring the TAYLOR dimples. Until
the 1970s, the GLORY ball, and most other golf balls with dimples had 336 dimples
of the same size using the same pattern, the ATTI pattern-The ATTI pattern was an
octohedron pattern, split into eight concentric straight line rows, which was named
after the main producer of molds for golf balls.
[0003] The only innovation related to the surface of a golf ball during this sixty year
period came from Albert Penfold who invented a mesh-pattern golf ball for Dunlop.
This pattern was invented in 1912 and was accepted until the 1930's. A combination
of a mesh pattern and dimples is disclosed in Young, U.S. Patent Number 2,002,726,
for a Golf Ball, which issued in 1935.
[0004] The traditional golf ball, as readily accepted by the consuming public, is spherical
with a plurality of dimples, with each dimple having a circular cross-section. Many
golf balls have been disclosed that break with this tradition, however, for the most
part these non-traditional golf balls have been commercially unsuccessful.
[0005] Most of these non-traditional golf balls still attempt to adhere to the Rules Of
Golf as set forth by the United States Golf Association ("USGA") and The Royal and
Ancient Golf Club of Saint Andrews ("R&A"). As set forth in Appendix III of the Rules
of Golf, the weight of the ball shall not be greater than 1.620 ounces avoirdupois
(45.93 gm), the diameter of the ball shall be not less than 1.680 inches (42.67 mm)
which is satisfied if, under its own weight, a ball falls through a 42,67 mm (1.680
inches) diameter ring gauge in fewer than 25 out of 100 randomly selected positions,
the test being carried out at a temperature of 23±1 °C, and the ball must not be designed,
manufactured or intentionally modified to have properties which differ from those
of a spherically symmetrical ball.
[0006] One example is Shimosaka et al., U.S. Patent Number 5,916,044, for a Golf Ball that
discloses the use of protrusions to meet the 1.68 inch (42.67mm) diameter limitation
of the USGA and R&A. The Shimosaka patent discloses a golf ball with a plurality of
dimples on the surface a few rows of protrusions that have a height of 0.001 to 1.0
mm from the surface. Thus, the diameter of the surface is less than 42.67mm.
[0007] Another example of a non-traditional golf ball is Puckett et al., U.S. Patent Number
4,836,552 for a Short Distance Golf Ball, which discloses a golf ball having brambles
instead of dimples in order to reduce the flight distance to half of that of a traditional
golf ball in order to play on short distance courses.
[0008] Another example of a non-traditional golf ball is Pocklington, U.S. Patent Number
5,536,013 for a Golf Ball, which discloses a golf ball having raised portions within
each dimple, and also discloses dimples of varying geometric shapes such as squares,
diamonds and pentagons. The raised portions in each of the dimples of Pocklington
assists in controlling the overall volume of the dimples.
[0009] Another example is Kobayashi, U.S. Patent Number 4,787,638 for a Golf Ball, which
discloses a golf ball having dimples with indentations within each of the dimples.
The indentations in the dimples of Kobayashi are to reduce the air pressure drag at
low speeds in order to increase the distance.
[0010] Yet another example is Treadwell, U.S. Patent Number 4,266,773 for a Golf Ball, which
discloses a golf ball having rough bands and smooth bands on its surface in order
to trip the boundary layer of air flow during flight of the golf ball.
[0011] Aoyama, U.S. Patent Number 4,830,378, for a Golf Ball With Uniform Land Configuration,
discloses a golf ball with dimples that have triangular shapes. The total flat land
area of Aoyama is no greater than 20% of the surface of the golf ball, and the flat
land area of Aoyama is no greater than 20% of the surface of the golf ball, and the
objective of the patent is to optimize the uniform land configuration and not the
dimples.
[0012] Another variation in the shape of the dimples is set forth in Steifel, U.S.Patent
Number 5,890,975 for a Golf Ball And Method Of Forming Dimples Thereon. Some of the
dimples of Steifel are elongated to have an elliptical cross-section instead of a
circular cross-section. The elongated dimples make it possible to increase the surface
coverage area. A design patent to Steifel, U.S. Patent Number 406,623, has all elongated
dimples.
[0013] A variation on this theme is set forth in Moriyama et al., U.S. Patent Number 5,722,903,
for a Golf Ball, which discloses a golf ball with traditional dimples and oval shaped
dimples.
[0014] A further example of a non-traditional golf ball is set forth in Shaw et al., U.S.
Patent Number 4,722,529, for Golf Balls, which discloses a golf ball with dimples
and 30 bald patches in the shape of a dumbbell for improvements in aerodynamics.
[0015] Another example of a non-traditional golf ball is Cadorniga, U.S. Patent Number 5,470,076,
for a Golf Ball, which discloses each of a plurality of dimples having an additional
recess. It is believed that the major and minor recess dimples of Cadorniga create
a smaller wake of air during flight of a golf ball.
[0016] Oka et al., U.S. Patent 5,143,377, for a Golf Ball, discloses circular and non-circular
dimples. The non-circular dimples are square, regular octagonal, regular hexagonal
and amount to at least forty percent of the 332 dimples on the golf ball of Oka. These
non-circular dimples of Oka have a double slope that sweeps air away from the periphery
in order to make the air turbulent.
[0017] Machin, U.S. Patent Number 5,377,989. for Golf Balls With Isodiametrical Dimples,
discloses a golf ball having dimples with an odd number of curved sides and arcuate
apices to reduce the drag on the golf ball during Night.
[0018] Lavallee et al, U.S. Patent Number 5,356,150, discloses a golf ball having overlapping
elongated dimples to obtain maximum dimple coverage on be surface of the golf ball.
[0019] Oka et al., U.S. Patent Number 5,338,039, discloses a golf ball having at least forty
percent of its dimples with a polygonal shape. The shapes of the Oka golf ball are
pentagonal, hexagonal and octagonal.
[0020] Although the prior an has set forth numerous variations for the surface of a golf
ball, there remains a need for a golf ball having a surface that minimizes the volume
needed ro trip the boundary layer of air at low speed while providing a low drag level
at high speeds.
[0021] The golf ball of the present invention is characterized by the features of the characterizing
portion of claim 1.
[0022] The present invention is able to provide a golf ball that meets the USGA requirements,
and provides a minimum land area to trip the boundary layer of air surrounding a golf
ball during flight in order to create the necessary turbulence for greater distance.
The present invention is able to accomplish this by providing a golf ball with an
outersphere defined by a lattice stucture and an innersphere as claimed in claim 1.
[0023] One aspect of the present invention is a golf ball with an innersphere having a surface
and a plurality of lattice members that define an outersphere. Each of the lattice
members has a cross-sectional contour with an apex at the greatest extent from the
center of the golf ball which defines the outersphere. The plurality of lattice members
are connected to each other to form a predetermined pattern on the golf ball.
[0024] The plurality of lattice members on the golf ball may cover between 20% to 80% of
the golf ball. The apex of each of the plurality of lattice members has a width less
than 2.5x10
-6 cm (0.00001 inch) resulting in a minimal land area for the outersphere The diameter
of the innenrphere may be at least 4.24 cm (1.67 inches) and the apex of each of the
plurality of lattice members may have a distance of at least 0.0127 cm (0.005 cm)
from the bottom of the lattice member resulting in a diameter of the outerspheic of
at least 4.27 cm (1.68 inches). The golf ball may also include a plurality of smooth
portions on the innersphere surface wherein the plurality of smooth portions and the
plurality of lattice members cover the entire golf ball.
Brief Description of the Drawings
[0025]
FIG. 1 is an equatorial view of a golf ball of the present invention.
FIG. 2 is a polar view of the golf ball of FIG. 1.
FIG. 3 is an enlargement of a section of FIG. 1.
FIG. 4 is an enlargement ofa sect!oti of FIG. 3
FIG. 4A is a cross-sectional view of the surface of the golf ball of the present invention
illustrating an outersphere, also referred to as a phantom sphere.
FIG. 5 and 6 and cross-sectional views of lattice members of the golf balls not according
to the present invention.
FIG. 6A is a top plan view of FIG. 6 to illustrate the width of the apex of each of
the lattice members.
FIG. 7 is au isolated cross-sectional view of one embodiment of lattice members of
the golf ball of the present invention.
FIG. 8 is a cross-sectional view of a preferred embodiment of lattice members of the
golf ball of the present invention.
FIG. 9 is a from view of the preferred embodiment of the golf ball of the present
invention illustrating the alternating parting line.
FIG. 9A is a perspective view of the golf ball of FIG. 9.
FIG. 9B is a polar view of the golf ball of FIG. 9.
FIG. 9C is an identical view of FIG. 9 illustrating the pentagonal grouping of hexagons.
FIG. 10 is a graph of the Lift coefficient versus Reynolds number for traditional
golf balls.
FIG. 11 is graph of the drag coefficient versus Reynolds number for traditional golf
balls.
FIG. 12 is a graph of the lift coefficient versus Reynolds number for the golf ball
of the present invention for four different backspins.
FIG. 13 is graph of the drag coefficient versus Reynolds number for the golf ball
of the present invention for four different backspins.
FIG. 14 is an enlarged view of the surface of a golf ball of the present invention
to demonstrate the minimal volume feature of the present invention.
FIG. 15 is an enlarged view of the surface of a golf ball of the prior art for comparison
to the minimal volume feature of the present invention.
FIG. 16 is a chart of the minimal volume.
Best Mode(s) For Carrying Out The Invention
[0026] As shown in FIGS. 1-4, a golf ball is generally designated 20. The golf ball may
be a two-piece, a three piece golf ball, or a multiple layer golf ball. Further, the
three-piece golf ball may have a wound layer, or a solid boundary layer. Additionally,
the core of the golf ball 20 may be solid, hollow or filled with a fluid such as a
gas or liquid. The cover of the golf ball 20 may be any suitable material. A preferred
cover is composed of a thermosetting polyurethane material. However, those skilled
in the pertinent art will recognize that other cover materials may be utilized. The
golf ball 20 may have a finish of a basecoat and/or top coat.
[0027] The golf ball 20 has innersphere 21 with an innersphere surface 22. The golf ball
20 also has an equator 24 dividing the golf ball 20 into a first hemisphere 26 and
a second hemisphere 28. A first pole 30 is located ninety degrees along a longitudinal
arc from the equator 24 in the first hemisphere 26. A second pole 32 is located ninety
degrees along a longitudinal arc from the equator 24 in the second hemisphere 28.
[0028] Descending toward the surface 22 of the innersphere 21 are a plurality of lattice
members 40. In a preferred embodiment, the lattice members 40 are tubular. However,
those skilled in the pertinent art will recognize that the lattice members 40 may
have other similar shapes. The lattice members are connected to each other to form
a lattice structure 42 on the golf ball 20. The interconnected lattice members 40
form a plurality of polygons encompassing discrete areas of the surface 22 of the
innersphere 21. Most of these discrete bounded areas 44 are hexagonal shaped bounded
areas 44a, with a few pentagonal shaped bounded areas 44b, a few octagonal shaped
bounded areas 44c, and a few quadragonal shaped bounded areas 44d. In the embodiment
of FIGS. 1-4, there are 380 polygons. In the preferred embodiment, each of the plurality
of lattice members 40 are connected to at least another lattice member 40. Each of
the lattice members 40 meet at least two other lattice members 40 at a vertex 46.
Most of the vertices 46 are the congruence of three lattice members 40. However, some
vertices 46a are the congruence of four lattice members 40. These vertices 46a are
located at the equator 24 of the golf ball 20. The length of each of the lattice members
40 ranges from 0.0127cm to 0.0254 cm (0.005 inch to 0.01 inch) thereby defining an
outersphere of at least 4.27 cm (1.68 inches)
[0029] The preferred embodiment of the present invention has reduced the land area of the
resulting golf ball to almost zero since only a line of each of the plurality of lattice
members 40 is in a spherical plane at 4.27 cm (1.68 inches), the outersphere. More
specifically, the land area of traditional golf balls is The area forming a sphere
of at least 4.27 cm (1.68 inches) for USGA and R&A conforming golf balls. This land
area is traditionally minimized with dimples that are concave into the surface of
the sphere of the traditional golf ball, resulting in land area on a non-dimpled surface
of the golf ball. However, the golf ball 20 of the present invention has only a line
at an apex 50 of each of the lattice members 40 that defines the land area of the
outersphere of the golf ball 20.
[0030] Traditional golf balls were designed to have the dimples "trip" the boundary layer
on the surface of a golf ball in flight to create a turbulent flow for greater lift
and reduced drag. The golf ball 20 of the present invention has the lattice structure
42 to trip the boundary layer of air about the surface of the golf ball 20 in flight.
[0031] As shown in FIG. 4A, 1.68 inches outersphere, as shown by dashed line 45, encompasses
the lattice members 40 and the innersphere 21. The volume of the lattice structure
42 as measured from the bottom of each lattice member to the apex 50 is a minimal
amount of the volume between the 4.27 cm (1.68 inches) outersphere and the innersphere
21. In the preferred embodiment, the apex 50 lies on the 4.27 cm (1.68 inches) outersphere.
Thus, over 90 percent, and closer to 95 percent, of the entire volume of the golf
ball 20 lies below the 4.27 cm (1.68 inches) outersphere.
[0032] As shown in FIGS. 5 and 6, the distance h and h' of the lattice members 40 from the
bottom of each lattice member 40 to an apex 50 will vary in order to have the golf
ball 20 meet or exceed the 4.27 cm (1.68 inches) requirement, For example, if the
diameter of the innersphere 21 is 4.23 cm (1.666 inches), then the distance h of the
lattice members 40 in FIG. 5 is 0.178 cm (0.007 inch) since the lattice member 40
on one hemisphere 26 is combined with a conesponding projection 40 on the second hemisphere
28 to reach the 4.27 cm (1.68 inches) diameter requirement for the outersphere. In
a preferred embodiment, if lattice members 40 having a greater distance h' are desired,
such as in FIG.6, then the innersphere 21 has a lesser diameter. Thus, the diameter
of the umersphere 21 in FIG. 6 is 4.22 cm (1.662 in) while the distance h' of the
lattice members 40 are 0.023 cm (0.009 inch) thereby resulting in an outersphere with
a diameter of 4.27 cm (1.68 inches). As shown in FIG. 6A, the width of each of the
apices 50 is minimal since the apex lies along an arc of a lattice member 40. In theory,
the width of each apex 50 should approach the width of a line. In practice, the width
of each apex 50 of each lattice member 40 is determined by the precision of the mold
utilized to produce the golf ball 20. The precision of the mold is itself determined
by the master used to form the mold. In the practice, the width of each apex 50 ranges
from 2.54x10
-4 cm to 2.54x10
-3 cm (0.0001 inch to 0.001 inch)
[0033] Although the cross-section of the lattice members 40 shown in FIGS. 5 and 6 are circular,
a preferred cross-section of each of the plurality of lattice members 40 is shown
in FIGS. 7 and 8. In such a preferred cross-section, the lattice member 40 has a contour
52 that has a first concave section 54, a convex section 56 and a second concave section
58. The radius R
2 of the convex portion 56 of each of the lattice members 40 is preferably in the range
of 6.99x10
-2 to 0.87x10
-2 cm (0.0275 inch to 0.0350 inch) The radius R, of the first and second concave portions
54 and 58 is preferably in the range of 0.381 cm to 0.508 cm (0.150 inch to 0.200
inch), and most preferable 0.45 cm (0.175 inch), WcN, R
ball is the radius of the innersphere which is preferably 2.11 cm (0.831 inch), R
∞ is the radius of the outersphere, which is preferable 4.27 cm (1.68 inches),
[0034] A preferred embodiment of the present invention is illustrated in FIGS. 9, 9A, 9B
and 9C. In this embodiment, the golf ball 20 has a parting line 100 that corresponds
to the shape of polygon defined by the plurality of lattice members 40 about the equator
24. Thus, if the polygons have a hexagonal shape, the paning line 100 will alternate
along the lower half of one hexagon and the upper half of an adjacent hexagon. Such
a golf ball 20 is fabricated using a mold such as disclosed in co-pending U.S. Parent
Application Number 09/442,845, filed on November 18, 1999, entitled Mold For A Golf
Ball. The preferred embodiment allows for greater uniformity in the polygons. In the
embodiment of FIGS. 9, 9A, 9B and 9C, there are 332 polygons, with 12 of those polygons
being pentagons and the rest being hexagons.
[0035] As shown in FIG. 9, each hemisphere 26 and 28 has two rows of hexagons 70, 72, 74
and 76, adjacent the parting line 100. The pole 30 of the first hemisphere 26 is encompassed
by a pentagon 44b, as shown in FIG- 98. The pentagon 44b at the pole 30 is encompassed
by ever increasing spherical pentagonal groups of hexagons 80, 82, 84, 86, and 88.
A pentagonal group 90 has pentagons 44b at each respective base, with hexagons 44a
therebetween. The pentagonal groups 80, 82, 84, 86, 88 and 90 transform into the four
adjacent rows 70, 72, 74 and 76. The preferred embodiment only has hexagons 44a and
pentagons 44b.
[0036] FIGS. 10 and illustrate the lift and drag of traditional golf balls at a backspin
of 2000 rpm and 3000 rpm, respectively. FIGS. 12 and 13 illustrate the lift and drag
of the present invention at four different backspins. The force acting on a golf ball
in flight is calculated by the following trajectory equation:

wherein F is the force acting on the golf ball;
FL is the lift;
FD is the drag; and
G is gravity. The lift and the drag in equation A are calculated by the following equations:

wherein
CL is the lift coefficient;
CD is the drag coefficient; A is the maximum cross-sectional area of the golf ball;
ρ is the density of the air; and v is the golf ball airspeed.
[0037] The drag coefficient,
CD, and the lift coefficient,
CL, may be calculated using the following equations:

[0038] The Reynolds number
R is a dimensionless parameter that quantifies the ratio of inertial to viscous forces
acting on an object moving in a fluid. Turbulent flow for a dimpled golf ball occurs
when R is greater than 40000. If R is less than 40000. the flow may be laminar. The
turbulent flow of air about a dimpled golf ball in flight allows it to travel farther
than a smooth golf ball.
[0039] The Reynolds number R is calculated from the following equation:

wherein ν is the average velocity of the golf ball ;
D is the diameter of the golf ball (usually 4.27 cm) (1.68 inches)); ρ is the density
003of air (1.227 kg/m
3) (0.00238 slugs/ft
2) at standard atmospheric conditions); and µ is the absolute viscosity of air (1.826
kg s/m
2 (74 x 10
-7 lb
-sec/fr
2) at standard atmospheric conditions). A Reynolds number,
R, of 180,000 for a golf ball having a USGA approved diameter of 4.27 cm (1-68 inches),
at standard, atmospheric conditions, approximately corresponds to a golf ball hit
from the tee at 6 m/s (200 ft/s or 136 mph), which is the point in time during the
flight of a golf ball when the golf ball attains its highest speed. A Reynolds number,
R, of 70,000 for a golf ball having a USGA approved diameter 4.27 cm (1.68 inches),
at standard atmospheric conditions, appproximately corresponds to a golf ball at its
apex in its flight 266 m/s (78 ft/s or 53 mph), which is the point in time during
the flip of the golf ball when it travels at its slowest speed. Gravity will increase
the speed of a golf ball after its reaches its apex.
[0040] FIG. 10 illustrates the lift coefficient of traditional golf balls such as the Titlelist
TOUR PRESTIGE, the Maxfli REVOLUTION and the Maxfli HT URETHANE- FIG. 11 illustrates
the drag coefficient of traditional golf balls such as the Titlelist TOUR PRESTIGE,
the Maxfli REVOLUTION and the Maxfli HT URETHANE.
[0041] All of the golf balls for the comparison test, including the golf ball 20 of the
present invention, have a thermoset polyurethane cover. The golf ball 20 of the present
invention was constructed as set forth in U.S. Patent Number 6,117,024, filed an fuly
27, 1999, for a Gulf Ball with A Polyurethane Cover. However, those skilled in the
pertinent an will recognize that other materials may be used in the construction of
the golf ball of the present invention. The aerodynamics of the lattice structure
42 of the present invention provides a greater lift with a reduced drag whereby translating
into a golf ball 20 that travels a greater distance than traditional golf balls of
similar constructions.
[0042] As compared to traditional golf balls, the golf ball 20 of the present invention
is the only one that combines a lower drag coefficient at high speeds, and a greater
lift coefficient at low speeds. Specifically, as shown in FIGS. 10 and 11, none of
the other golf balls has a lift coefficient.
CL. greater than 0.18 at a Reynolds number of 70,000, and a drag coefficient
CD less than 0.23 at a Reynolds number of 180,000- For example, while the Tidtest PROFESSIONAL
has a
CL greater than 0.18 at a Reynolds munber of 70,000. its
CD is greater than 0-23 at a Reynolds number of 180,000. Also, while the Maxfli REVOLUTION
bas a drag coefficieni
CD greater than 0.23 at a Reynolds number of 130,000, its
CL is less than 0-18 at a Reynolds number of 70,000.
[0043] In this regard, the Rules of Golf approved by the USGA and The R&A, limits the initial
velocity of a golf ball to 76.2 m/s (250 feet per second (a two percent maximum tolerance
allows for an initial velocity of 77.7 m/s (255 feet per second)) and the overall
distance to 2.56 m (280 yards) plus a six percent tolerance for a total distance of
2.7x10
4 cm (296.8 yards) (the six percent tolerance may be lowered to four percent). A complete
description of the Rules of Golf are available on the USGA web page at www.usga.org
or at the R&A web page at www.rarda.org. Thus, the initial velocity and overall distance
of a golf ball must not exceed these limits in order to conform to the Rules of Golf.
Therefore, the golf ball 20 should have a dimple pattern that enables the golf ball
20 to meet, yet not exceed, these limits.
[0044] FIG. 14 is an enlarged view of the surface of the golf ball 20 of the present invention
to demonstrate the minimal volume of the golf ball 20 from a predetermined distance
from the greatest extent of the golf ball 20 the outersphere. More specifically, the
greatest extent of one embodiment of the golf ball 20 are the apices 50 of the lattice
members 40 which lie on a spherical plane (shown as dashed line 45) which has a 4.27
cm (1.682 inches diameter), the outersphere. Those skilled in the art should recognize
that other embodiments could have the apices 50 lie on a spherical plane at 4.32 cm,
4.37 cm, 4.17 cm, 4.06 cm (1.70 inches, 1.72 inches, 1.64 inches, 1.60 inches), or
any other variation in the diameter of the greatest extent of the golf ball 20. Having
defined the greatest extent of the golf ball 20, the present invention will have a
minimal volume from this greatest extent toward the innersphere 22. For example, dashed
line 130 represents a spherical plane that intersects each of the lattice members
40 at a distance of 5.1x10
-3 cm (0.002 inch) (at a radius of 2.13 cm (0.839 inch) from the center) from the greatest
extent of the golf ball 20. The volume of the golf ball 20 of the present invention
between the greatest extent spherical plane 45 and the spherical plane 130 is only
0.01333 cm
3 (0.0008134 cubic inch). In other words, the outermost 5.1x10
-3 cm (0.002 inch) (between a radius of 2.14 and 2.13 cm (0.841 and 0.839 inch)) of
the golf ball 20 has a volume 0.01333 cm
3 (0.00008134 cubic inch),
[0045] FIG. 15 illustrates the surface of a golf ball 140 of the prior art which has additional
dimples 142 encompassed by a land area 144. The land area 144 represents the greatest
extent of the golf ball 140 of the prior art. For comparison to the golf ball 20 of
the present invention, the volume of the golf ball 140 of the prior an between the
greatest extent 144 and a spherical plane 130' is 0.035 ml (0.00213 cubic inch). Spherical
planes 132,134 and 136, at 0.012 cm, 0.015 cm and 0.020 cm (0.004 inch, 0.006 inch
and 0.008 inch) respectively, have volumes of 0.0378 ml, 0.06909 ml and 0.107178 ml
(0.0023074 cubic inch, 0.0042164 cubic inch and 0.0065404 cubic inch), respectively
on the golf ball 20 of the present invention. Spherical planes 132', 134'-and 136,
at 0.012 cm, 0.015 cm and 0.020 cm (0.004 inches, 0.006 inch and 0.008 inch) respectively,
will have volumes of 0.081607 ml, 0.137815 ml and 0.20287 ml (0.00498 cubic inch,
0.00841 cubic inch and 0.01238 cubic inch) on the golf ball 140 of the prior art 140.
[0046] Thus, as funher shown in FIG. 16 and Table One below, the golf ball 20 of the present
invention will have a minimal volume at a predetermined distance from the greatest
extent of the golf ball 20. This minimal volume is a minimal amount necessary to trip
the boundary layer air at low speed while providing a low drag level at high speeds.
The first column of Table One is the distance from the outermost point of the golf
ball 20, which is the apex 50 of each of the lattice manbers 40. The second column
is the individual volume of each of the 830 lattice members 40 at this distance inward
from the outermost point. The third column is the total volume of the spherical planes
at each distance inward from the outermost point. Table Two contains similar information
for the golf ball 140 of the prior art.

1. Golfball (20), der eine innere Kugel (21) mit einer Oberfläche (22) hat, wobei die
innere Kugel (21) einen Durchmesser hat, der von 4,06 Zentimeter (1,60 Inch) bis 4,32
Zentimeter (1,70 Inch) reicht, wobei der Golfball dadurch gekennzeichnet ist, dass sich eine Mehrzahl miteinander verbundener Gitterelemente (40) von der Oberfläche
(22) der inneren Kugel (21) erstrecken, wobei jedes der Mehrzahl miteinander verbundener
Gitterelemente (40) einen ersten konkaven Abschnitt (54) hat, welcher in einen konvexen
Abschnitt (56) übergeht, welcher dann in einen zweiten konkaven Abschnitt (58) übergeht,
wobei der konvexe Abschnitt (56) einen Scheitel (50) hat, welcher sich vom unteren
Ende des Gitterelements (40) um eine Distanz von 0,0127 Zentimetern (0,005 Inch) bis
0,0254 Zentimetern (0,010 Inch) erstreckt, wobei der Scheitel (50) jedes der Mehrzahl
miteinander verbundener Gitterelemente (40) die größte Erstreckung des Golfballs (20)
ist.
2. Golfball (20) gemäß Anspruch 1, wobei der erste konkave Abschnitt (54) und der zweite
konkave Abschnitt (58) jeweils einen Krümmungsradius haben, der von 0,38 Zentimeter
bis 0,51 Zentimeter (0,150 Inch bis 0,200 Inch) reicht, und wobei der konvexe Abschnitt
(56) einen Krümmungsradius hat, der von 0,07 Zentimeter bis 0,09 Zentimeter (0,0275
Inch bis 0,0350 Inch) reicht.
3. Golfball (20) gemäß einem der vorhergehenden Ansprüche, wobei der Golfball (20) eine
Hülle hat, die aus einem wärmegehärteten Polyurethan-Material besteht.
4. Golfball (20) gemäß einem der vorhergehenden Ansprüche, wobei das Volumen der äußersten
0,005 Zentimeter (0,002 Inch) des Golfballs (20) kleiner als 0,01333 Kubikzentimeter
(0,0008134 Inch3) ist.
5. Golfball (20) gemäß Anspruch 1, 2 oder 3, wobei das Volumen der äußersten 0,0102 Zentimeter
(0,004 Inch) des Golfballs (20) kleiner als 0,03781 Kubikzentimeter (0,0023074 Inch3) ist.
6. Golfball (20) gemäß Anspruch 1, 2 oder 3, wobei das Volumen der äußersten 0,0152 Zentimeter
(0,006 Inch) des Golfballs (20) kleiner als 0,06909 Kubikzentimeter (0,0042164 Inch3) ist.
7. Golfball (20) gemäß einem der vorhergehenden Ansprüche, wobei der Golfball (20) ein
dreiteiliger Golfball ist, der einen massiven Kern, einen hohlen Kern oder einen fluiden
Kern hat.
8. Golfball (20) gemäß einem der vorhergehenden Ansprüche, wobei der Golfball (20) einen
Auftriebsbeiwert größer als 0,18 bei einer Reynolds-Zahl von 70000 und 2000 Rotationen
pro Minute und einen Widerstandsbeiwert kleiner als 0,23 bei einer Reynolds-Zahl von
180000 und 3000 Rotationen pro Minute hat.
9. Golfball (20) gemäß einem der vorhergehenden Ansprüche, wobei die Mehrzahl miteinander
verbundener Gitterelemente (40) eine Mehrzahl von Polygonen auf dem Golfball ausbilden.
10. Golfball (20) gemäß einem der vorhergehenden Ansprüche, wobei die Oberfläche des Golfballs
(20) von der Mehrzahl miteinander verbundener Gitterelemente (40) und von der Oberfläche
(22) der inneren Kugel (21) vollständig definiert ist.
1. Balle de golf (20) comprenant une sphère interne (21) munie d'une surface (22), la
sphère interne ayant un diamètre compris entre 4,06 centimètres (1,60 pouces) et 4,32
centimètres (1,70 pouces), la balle de golf étant caractérisée en ce que
une pluralité d'éléments interconnectés en treillis (40) s'étend depuis la surface
(22) de la sphère interne (21), chacun de la pluralité des éléments interconnectés
en treillis (40) ayant une première partie concave (54) qui passe par une partie convexe
(56) qui se transforme ensuite en une seconde partie concave (58), la partie convexe
(56) ayant un sommet (50) qui s'étend depuis un fond de l'élément en treillis (40)
sur une distance de 0,0127 centimètres (0,005 pouces) à 0,0254 centimètres (0,010
pouces), où le sommet (50) de chacun de la pluralité des éléments interconnectés en
treillis (40) est le point le plus éloigné de la balle de golf (20).
2. Balle de golf (20) selon la revendication 1, dans laquelle la première partie concave
(54) et la seconde partie concave (58) ont chacune un rayon de courbure compris entre
0,38 centimètres et 0,51 centimètres (0,150 pouces à 0,200 pouces) et la partie convexe
(56) a un rayon de courbure compris entre 0,07 centimètres et 0,09 centimètres (0,0275
pouces à 0,0350 pouces).
3. Balle de golf (20) selon l'une quelconque des revendications précédentes, dans laquelle
la balle de golf (20) a un revêtement protecteur composé d'un matériau de polyuréthane
thermodurci.
4. Balle de golf (20) selon l'une quelconque des revendications précédentes, dans laquelle
le volume des 0,005 centimètres (0,002 pouces) les plus à l'extérieur de la balle
de golf (20) est inférieur à 0,01333 centimètres cubes (0,0008134 pouces3).
5. Balle de golf (20) selon l'une des revendications 1, 2 ou 3, dans laquelle le volume
des 0,0102 centimètres (0,004 pouces) les plus à l'extérieur de la balle de golf (20)
est inférieur à 0,03781 centimètres cubes (0,0023074 pouces3).
6. Balle de golf (20) selon l'une des revendications 1, 2 ou 3, dans laquelle le volume
des 0,0152 centimètres (0,006 pouces) les plus à l'extérieur de la balle de golf (20)
est inférieur à 0,06909 centimètres cubes (0,0042164 pouces3).
7. Balle de golf (20) selon l'une quelconque des revendications précédentes, dans laquelle
la balle de golf (20) est une balle de golf en trois parties ayant un coeur plein,
un coeur creux ou un coeur fluide.
8. Balle de golf (20) selon l'une quelconque des revendications précédentes, dans laquelle
la balle de golf (20) a un coefficient de portance supérieur à 0,18 à un nombre de
Reynolds de 70 000 et 2000 rotations par minute, et un coefficient de traînée inférieur
à 0,23 à un nombre de Reynolds de 180 000 et 3000 rotations par minute.
9. Balle de golf (20) selon l'une quelconque des revendications précédentes, dans laquelle
la pluralité d'éléments interconnectés en treillis (40) forment une pluralité de polygones
sur la balle de golf (20).
10. Balle de golf (20) selon l'une quelconque des revendications précédentes, dans laquelle
une surface de la balle de golf (20) est entièrement délimitée par la pluralité d'éléments
interconnectés en treillis (40) et la surface (22) de la sphère interne (21).